I am currently working with irreducible $k[G]$-modules in MAGMA for finite fields $k$ and finite groups $G$. To construct these modules, I am using the commands IrreducibleModules(G,k) This results in MAGMA recognising the modules as being of type $ModGrp$. However, I wish to perform calculations such as finding the projective cover of such a module, for which MAGMA can only perform such calculations on modules over algebras (i.e. of type $ModAlg$). Is there an easy way to coerce MAGMA into treating modules of type $ModGrp$ as being of type $ModAlg$?
MAGMA is perfectly capable of calculating the projective cover of a member of
IrreducibleModules(G,k), via the
ProjectiveCover() function. You can also just call
ProjectiveIndecomposables(G,k). Perhaps you are running an old version of MAGMA? Version 2.18-3 is certainly capable of this functionality.
(This would have been a comment rather than an answer if reputation allowed).